Free access
Issue
ESAIM: M2AN
Volume 45, Number 1, January-February 2011
Page(s) 23 - 37
DOI http://dx.doi.org/10.1051/m2an/2010031
Published online 15 April 2010
  1. C. Chniti, F. Nataf and F. Nier, Improved interface conditions for the domain decomposition of a non-convex polygonal domain. C. R. Acad. Sci. 342 (2006) 883–886.
  2. C. Chniti, F. Nataf and F. Nier, Improved interface conditions for 2D domain decomposition with corners: a theoretical determination. CALCOLO 45 (2008) 111–147. [CrossRef] [MathSciNet]
  3. C. Chniti, F. Nataf and F. Nier, Improved interface conditions for 2D domain decomposition with corners: Numerical applications. J. Sci. Comput. 38 (2009) 207–228. [CrossRef] [MathSciNet]
  4. O. Dubois, Optimized Schwarz Methods for the Advection-Diffusion Equation and for Problems with Discontinuous Coefficients. Ph.D. Thesis, McGill University, Montréal (2007).
  5. M.J. Gander, Optimized schwarz methods. SIAM J. Numer. Anal. 44 (2006) 699–731. [CrossRef] [MathSciNet]
  6. P. Grisvard, Singularities in boundary value problems, Research Notes in Applied Mathematics, RMA 22. Springer-Verlag (1992).
  7. C. Japhet and F. Nataf, The Best Interface Conditions for Domain Decomposition Methods: Absorbing Boundary Conditions, in Absorbing Boundaries and Layers, Domain Decomposition Methods – Applications to Large Scale Computation, L. Tourrette and L. Halpern Eds., Nova Science Publishers, Publ. Science (2001) 348–373.
  8. B.N. Khoromskij and G. Wittum, Numerical Solution of Elliptic Differential Equations by Reduction to the Interface, Lect. Notes Comput. Sci. Eng. 36. Springer-Verlag, Berlin (2004).
  9. V.A. Kondratiev, Boundary problems for elliptic equations in domains with conical or angular points. Trudy Moskov. Mat. Obshch. 16 (1967) 227–313.
  10. P.L. Lions, On the Schwarz Alternating Method III: A variant for Nonoverlapping Subdomains, in Third Internationnal Symposium on Domain Decomposition Methods for Partial Differentiel Equations, held in Houston, Texas, March 20–22, Philadelphia, SIAM (1989) 202–223.
  11. F. Nier, Remarques sur les algorithmes de décomposition de domaines, in Séminaire EDP-École Polytechnique (1998–1999).

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